1141267286808 has 576 divisors, whose sum is σ = 3585254400000. Its totient is φ = 327313958400.

The previous prime is 1141267286801. The next prime is 1141267286843. The reversal of 1141267286808 is 8086827621411.

1141267286808 is a `hidden beast` number, since 1 + 1 + 412 + 6 + 72 + 86 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141267286801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3179017333 + ... + 3179017691.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400000).

Almost surely, 2^{1141267286808} is an apocalyptic number.

1141267286808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141267286808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200000).

1141267286808 is an abundant number, since it is smaller than the sum of its proper divisors (2443987113192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141267286808 is a wasteful number, since it uses less digits than its factorization.

1141267286808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1141267286808 in words is "one trillion, one hundred forty-one billion, two hundred sixty-seven million, two hundred eighty-six thousand, eight hundred eight".